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If A = [1234], B = [6111] and C = [-2-301], find the following and state if they are equal A + CB - Mathematics

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Question

If A = `[(1, 2),(3, 4)]`, B = `[(6, 1),(1, 1)]` and C = `[(-2, -3),(0, 1)]`, find the following and state if they are equal A + CB

Sum

Solution

CB = `[(-2, -3),(0, 1)][(6, 1),(1, 1)]`

= `[(-12 - 3, -2 - 3),(0 + 1, 0 + 1)]`

= `[(-15, -5),(1, 1)]`

A + CB = `[(1, 2),(3, 4)] + [(-15, -5),(1, 1)]`

= `[(-14, -3),(4, 5)]`

Thus, CA + B ≠ A + CB

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Chapter 9: Matrices - Exercise 9 (C) [Page 130]

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Selina Mathematics [English] Class 10 ICSE
Chapter 9 Matrices
Exercise 9 (C) | Q 24.2 | Page 130

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